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Finding the Fourth Proportional to 209,987.80, 289,790.88 and 119,359.01

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Solution

The fourth proportional to 209,987.80, 289,790.88 and 119,359.01 is: 164,719.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,987.80 : 289,790.88 = 119,359.01 : x
  2. Step 2: Convert to fraction form
    209,987.80/289,790.88 = 119,359.01/x
  3. Step 3: Cross multiply
    209,987.80x = 289,790.88 × 119,359.01
  4. Step 4: Simplify right side
    209,987.80x = 34,589,152,543.83
  5. Step 5: Solve for x
    x = 34,589,152,543.83/209,987.80
  6. Step 6: Final answer
    x = 164,719.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.